Normal bases for the space of continuous functions defined on a subset of Zp.

Verdoodt, Ann. "Normal bases for the space of continuous functions defined on a subset of Zp.." Publicacions Matemàtiques 38.2 (1994): 371-380. <http://eudml.org/doc/41183>.

@article{Verdoodt1994,
abstract = {Let K be a non-archimedean valued field which contains Qp and suppose that K is complete for the valuation |·|, which extends the p-adic valuation. Vq is the closure of the set \{aqn|n = 0,1,2,...\} where a and q are two units of Zp, q not a root of unity. C(Vq → K) is the Banach space of continuous functions from Vq to K, equipped with the supremum norm. Our aim is to find normal bases (rn(x)) for C(Vq → K), where rn(x) does not have to be a polynomial.},
author = {Verdoodt, Ann},
journal = {Publicacions Matemàtiques},
keywords = {Espacio de funciones continuas; Espacios de Banach; Espacio normado no arquimediano; Banach space of continuous functions equipped with the uniform convergence; supremum norm; orthonormal basis},
language = {eng},
number = {2},
pages = {371-380},
title = {Normal bases for the space of continuous functions defined on a subset of Zp.},
url = {http://eudml.org/doc/41183},
volume = {38},
year = {1994},
}

TY - JOUR
AU - Verdoodt, Ann
TI - Normal bases for the space of continuous functions defined on a subset of Zp.
JO - Publicacions Matemàtiques
PY - 1994
VL - 38
IS - 2
SP - 371
EP - 380
AB - Let K be a non-archimedean valued field which contains Qp and suppose that K is complete for the valuation |·|, which extends the p-adic valuation. Vq is the closure of the set {aqn|n = 0,1,2,...} where a and q are two units of Zp, q not a root of unity. C(Vq → K) is the Banach space of continuous functions from Vq to K, equipped with the supremum norm. Our aim is to find normal bases (rn(x)) for C(Vq → K), where rn(x) does not have to be a polynomial.
LA - eng
KW - Espacio de funciones continuas; Espacios de Banach; Espacio normado no arquimediano; Banach space of continuous functions equipped with the uniform convergence; supremum norm; orthonormal basis
UR - http://eudml.org/doc/41183
ER -